42993081600 has 864 divisors, whose sum is σ = 177524637696. Its totient is φ = 8935833600.

The previous prime is 42993081563. The next prime is 42993081629. The reversal of 42993081600 is 618039924.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70828497 + ... + 70829103.

Almost surely, 2^42993081600 is an apocalyptic number.

42993081600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42993081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88762318848).

42993081600 is an abundant number, since it is smaller than the sum of its proper divisors (134531556096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42993081600 is a wasteful number, since it uses less digits than its factorization.

42993081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 42993081600 in words is "forty-two billion, nine hundred ninety-three million, eighty-one thousand, six hundred".